2. if line t is a transversal of lines l and m, name the angle relationship of the given angle pairs. a. ∠1 and ∠3b. ∠8 and ∠4c. ∠2 and ∠3show your work.

The angle relationship of the given angle pairs are as follows:

a) ∠1 and ∠3 (corresponding angle)

 b. ∠8 and ∠4 (corresponding angle)  

c. ∠2 and ∠3 (vertically opposite angle)

The point where two lines meet is known as an angle:

From the given diagram, we can see that lie m is parallel to l, this means that the angles to the left have a relationship to those on the right. Also the angle at the top will have a relationship with those at the bottom.

From the diagram;

m<1 = m<3 (corresponding angle)m<8 = <6(corresponding)Since m<6 = m<4 (vertically opposite angle), hence m<8 and m<4 are also vertically opposite. m<2 and m<3 are supplementary angles i.e the sum of both angles is 180 degrees

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<1 and <3  are corresponding angles

<8 and <4 alternate exterior angles

<2 and <3  consecutive interior angles

Step-by-step explanation:

corresponding angles: the angles in matching corners

alternate exterior angles : outside alternate corners

consecutive interior angles :  inside angles on one side on the transversal

first, I would graph the rectangle and then count how many units are the length and the width then just multiply them since that is the rule of the area